581616 has 60 divisors (see below), whose sum is σ = 1863472. Its totient is φ = 165888.

The previous prime is 581599. The next prime is 581617. The reversal of 581616 is 616185.

581616 = 119² + 120² + ... + 150².

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 581616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720 + ... + 1296.

2⁵⁸¹⁶¹⁶ is an apocalyptic number.

581616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931736).

581616 is an abundant number, since it is smaller than the sum of its proper divisors (1281856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

581616 is a wasteful number, since it uses less digits than its factorization.

581616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 589 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 581616 is about 762.6375285809. The cubic root of 581616 is about 83.4728897133.

It can be divided in two parts, 5816 and 16, that added together give a cube (5832 = 18³).

The spelling of 581616 in words is "five hundred eighty-one thousand, six hundred sixteen".